This video covers a very interesting problem on applications of derivatives and covers the concept of Rolle’s theorem and mean value theorem taken from recently held JEE Advanced 2020 Paper I question number 17 and the question is
For a polynomial g(x) with real coefficients, let mg denote the number of distinct real roots of g(x). Suppose S is the set of polynomials with real coefficients defined by S = {(x^2 − 1)^2(a0 + a1x + a2x^2 + a3x^3) ∶ a0, a1, a2, a3 ∈ R}. For a polynomial f, let f ′ and f′′ denote its first and second order derivatives, respectively. Then the minimum possible value of (mf ′ + mf′′), where f ∈ S, is _____
This video is suitable for the students aspiring for engineering entrance exam and is also suitable for CBSE, ISC, HSC, IB Board students and the students who have genuine interest in learning Calculas
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